1. Consider the following statements: P(x, y) = "3r R such that Vy R, z = 2y" Q(x, y) = "VR y R such that = 2y" Explain the difference between what these two statements are claiming. Which of them is true and which of them is false?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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1. Consider the following statements:
P(z, y) = "3r €R such that Vy e R, z = 2y"
Q(z, y) = "Vz €R 3y eR such that r= 2y"
Explain the difference between what these two statements are claiming. Which of them is true and which
of them is false?
Transcribed Image Text:1. Consider the following statements: P(z, y) = "3r €R such that Vy e R, z = 2y" Q(z, y) = "Vz €R 3y eR such that r= 2y" Explain the difference between what these two statements are claiming. Which of them is true and which of them is false?
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